System of Equations Word Problems

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1. y = 4x – 3
5x – 2y = 6
2.
4x – 5y = 13
2x + 5y = 5
1
3. y  x  3
2
y  2 x  2
2
4. y  x  2
3
y  x  3
5. 3x – 2y = 6
y = 2x – 4
6. x + y = 4
2x + 3y = 7
Clear
off your desk.
Pencil and calculator only.
Show all of your work.
Circle your answer (check your
answer if time permits).
When you are finished sit quietly.
UNIT QUESTION: How do I justify and
solve the solution to a system of
equations or inequalities?
Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12
Today’s Question:
How do I set up word problems involving
a system of equations?
Standard: MCC9-12.A.REI.6


Define all variables.
2. Write the system of equations.
3. Solve using the best method &
showing all steps.
4. State your solution in sentence
form.
5. Check your solution.
1.
1. You are selling tickets for a
high school basketball
game. Student tickets cost
$3 and general admission
tickets cost $5. You sell 350
tickets and collect $1450.
How many of each type of
ticket did you sell?
Define variables:
Solve
S = # of Student Tickets
G = # of General Admin Tickets
System of equations:
S + G = 350
3S + 5G = 1450
State your solution(s):
I sold 200 general
admission tickets and
150 student tickets.
G = 200
S = 150
2. At an Italian bistro, the costs of 2
plates of spaghetti and 1 salad is
$27.50. The cost for 4 plates of
spaghetti and 3 salads is $59.50. Find
the cost of a plate of spaghetti and a
salad.
Define variables:
Solve
P = cost plate of spaghetti
S = cost salad
System of equations:
2P + S = 27.50
4P + 3S = 59.50
State your solution(s):
A plate of spaghetti costs
$11.50 and a salad costs
$4.50.
P = 11.50
S = 4.50
3. Peggy walks at a rate of 2
miles per hour and jogs at a
rate of 4 miles per hour. She
walked and jogged 3.4 miles in
1.2 hours. For how long did
Peggy jog and for how long did
she walk?
Define variables:
Solve
W = hours walked
J = hours jogged
System of equations:
W + J = 1.2
2W + 4J = 3.4
State your solution(s):
Peggy walked for 0.7
hours and jogged for
0.5 hours.
W = .7
J = .5
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